STATISTICAL LAW AND HUMAN FREEDOM

T. Porter
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Abstract

This chapter evaluates the criticism of statistics. Already in the early nineteenth century, the statistical approach was attacked on the ground that mere statistical tables cannot demonstrate causality, or that mathematical probability presupposes the occurrence of events wholly by chance. The intent of these early critics was not to suggest the inadequacy of causal laws in social science, but to reject the scientific validity of statistics. The new interpretation of statistics that emerged during the 1860s and 1870s was tied to a view of society in which variation was seen as much more vital. Statistical determinism became untenable precisely when social thinkers who used numbers became unwilling to overlook the diversity of the component individuals in society, and hence denied that regularities in the collective society could justify any particular conclusions about its members. These social discussions on natural science and philosophy bore fruit in the growing interest in the analysis of variation evinced by the late-century mathematical statisticians. To be sure, Francis Galton gave little attention to the debates on human freedom, but Francis Edgeworth was closely familiar with them, and Wilhelm Lexis's important work on dispersion can only be understood in the context of this tradition.
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统计法则与人类自由
这一章评价了对统计的批评。早在19世纪初,统计方法就受到了攻击,理由是单纯的统计表不能证明因果关系,或者数学概率假设事件的发生完全是偶然的。这些早期批评者的意图不是暗示社会科学中因果规律的不足,而是拒绝统计的科学有效性。19世纪60年代和70年代出现的对统计数据的新解释与一种社会观点有关,在这种观点中,变化被视为更为重要。当使用数字的社会思想家不愿意忽视社会中组成个体的多样性,从而否认集体社会的规律性可以证明关于其成员的任何特定结论是正当的时候,统计决定论就站不住脚了。这些关于自然科学和哲学的社会讨论产生了成果,世纪末数理统计学家证明了对变异分析的日益增长的兴趣。可以肯定的是,弗朗西斯·高尔顿很少关注关于人类自由的辩论,但弗朗西斯·埃奇沃斯对此非常熟悉,威廉·莱西斯关于分散的重要著作只能在这一传统的背景下理解。
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Chapter Eight. THE MATHEMATICS OF STATISTICS INDEX CONCLUSION Chapter Five. SOCIAL LAW AND NATURAL SCIENCE Chapter One. STATISTICS AS SOCIAL SCIENCE
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